343411123440000 has 1280 divisors, whose sum is σ = 1504730802009600. Its totient is φ = 67160555520000.

The previous prime is 343411123439999. The next prime is 343411123440001. The reversal of 343411123440000 is 44321114343.

It is an interprime number because it is at equal distance from previous prime (343411123439999) and next prime (343411123440001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 343411123440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343411123440001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 313613446 + ... + 314706554.

It is an arithmetic number, because the mean of its divisors is an integer number (1175570939070).

Almost surely, 2^{343411123440000} is an apocalyptic number.

343411123440000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343411123440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752365401004800).

343411123440000 is an abundant number, since it is smaller than the sum of its proper divisors (1161319678569600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343411123440000 is a wasteful number, since it uses less digits than its factorization.

343411123440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093181 (or 1093154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 343411123440000 its reverse (44321114343), we get a palindrome (343455444554343).

The spelling of 343411123440000 in words is "three hundred forty-three trillion, four hundred eleven billion, one hundred twenty-three million, four hundred forty thousand".